the number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is
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The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ? a 2800 b 4000 c 5500 d 7000
The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ? a 2800 b 4000 c 5500 d 7000
Byju's Answer Standard X Mathematics
Circumference of a Circle
The radius of... Question
The radius of a wheel is 0.25 m. How many revolutions will it make in covering 11 km ?
(a) 2800 (b) 4000 (c) 5500 (d) 7000
Open in App Solution Radius = 0.25 m Circumference = 2 π r = 2 × 22 7 × 0.25 m No:of revolutions = total distance circumference = 11000 × 7 2 × 22 × 0. 25 = 7000 revolutions Suggest Corrections 218
SIMILAR QUESTIONS
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Standard X Mathematics
The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.
The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.
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The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.
OPTIONS
2800 4000 5500 7000 Advertisement Remove all ads
SOLUTION
The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is 7000.
Explanation:
Here,
Number of revolutions =
Total distance
Distance covered inrevolution
Total distanceDistance covered in 1 revolution
Given, Radius = 0.25 m
Total Distance = 11 km = 11,000 m
Therefore,
Distance covered in one revolution = Circumference of wheel
= 2πr = 2×227×0.25 = 2×227×14 = 117 m Now,
Number of revolutions =
Total distance
Distance covered inrevolution
Total distanceDistance covered in 1 revolution
= 11000117 = 11000×711 = 1000 × 7 = 7000
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[MCQ] The number of revolutions made by a circular wheel of radius
Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (𝑻𝒐𝒕𝒂𝒍 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆)/(𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒄𝒐𝒗𝒆𝒓𝒆𝒅 𝒊𝒏 𝟏 𝒓𝒆𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏) Given Radius = 0.25 m, Total Distance = 11 km The
Question 15 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards
Last updated at March 16, 2023 by Teachoo
The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is
The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000
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Transcript
Question 15 The number of revolutions made by a circular wheel of radius 0.25m in rolling a distance of 11km is (a) 2800 (b) 4000 (c) 5500 (d) 7000 Here, Number of revolutions = (𝑻𝒐𝒕𝒂𝒍 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆)/(𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒄𝒐𝒗𝒆𝒓𝒆𝒅 𝒊𝒏 𝟏 𝒓𝒆𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏) Given Radius = 0.25 m, Total Distance = 11 km Therefore, Distance covered in one revolution = Circumference of wheel = 2𝜋r = 2 × 22/7 × 0.25 = 2 × 22/7 × 1/4 = 𝟏𝟏/𝟕 m Now, Number of revolutions = (𝑇𝑜𝑡𝑎𝑙 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒)/(𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑐𝑜𝑣𝑒𝑟𝑒𝑑 𝑖𝑛 1 𝑟𝑒𝑣𝑜𝑙𝑢𝑡𝑖𝑜𝑛) = 11000/(11/7) = 11000 ×7/11 = 1000 × 7 = 7000 So, the correct answer is (d)
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Guys, does anyone know the answer?